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Finding the Third Proportional to 151,564.31 and 210,736.13

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Solution

The third proportional to 151,564.31 and 210,736.13 is: 293,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,564.31 : 210,736.13 = 210,736.13 : x
  2. Step 2: Convert to fraction form
    151,564.31/210,736.13 = 210,736.13/x
  3. Step 3: Cross multiply
    151,564.31x = 210,736.13 × 210,736.13
  4. Step 4: Simplify right side
    151,564.31x = 44,409,714,380.02
  5. Step 5: Solve for x
    x = 44,409,714,380.02/151,564.31
  6. Step 6: Final answer
    x = 293,009.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.